can you get a tenant's credit report without a social security number?

Well, you there is only one option for landlords (I'm guessing you are talking about the tenant not having the SSN and not you).

You can order a smartmove credit report by RealSerious.com (provided by TransUnion) (a file without account numbers and a credit score generated by the credit bureau (instead of FICO) - this requires the tenant's email so system can notify tenant to login and verify identify and authorize the file to be released to you.